Source Code

These source-code files are part of a reconstructed copy of Artemis 071, the first release of the Apollo 15 through 17 Command Module (CM) Apollo Guidance Computer (AGC) software.

The reconstruction began with source code of Artemis 072 previously transcribed from a digitized copy of that program. The code was then updated by undoing changes between the two versions. The reconstruction was verified by matching memory-bank checksums to those listed in drawing 2021154-. Note that page numbers in the reconstructed code match those on the Artemis 072 printout, although the changed code would likely have changed page numbers for a real Artemis 071 listing.

Comments from the original source code are prefixed with a single '#' symbol, whereas comments added later are prefixed by "##" or "###". Report any errors noted by creating an issue report at the Virtual AGC project's GitHub repository.

017783,000002:                                                                                                  ## Copyright:   Public domain.
017784,000003:                                                                                                  ## Filename:    ANGLFIND.agc
017785,000004:                                                                                                  ## Purpose:     A section of Artemis revision 071.
017786,000005:                                                                                                  ##              It is part of the reconstructed source code for the first
017787,000006:                                                                                                  ##              release of the flight software for the Command Module's
017788,000007:                                                                                                  ##              (CM) Apollo Guidance Computer (AGC) for Apollo 15 through
017789,000008:                                                                                                  ##              17. The code has been recreated from a copy of Artemis 072.
017790,000009:                                                                                                  ##              It has been adapted such that the resulting bugger words
017791,000010:                                                                                                  ##              exactly match those specified for Artemis 071 in NASA
017792,000011:                                                                                                  ##              drawing 2021154-, which gives relatively high confidence
017793,000012:                                                                                                  ##              that the reconstruction is correct.
017794,000013:                                                                                                  ## Reference:   403
017795,000014:                                                                                                  ## Assembler:   yaYUL
017796,000015:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
017797,000016:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
017798,000017:                                                                                                  ## Mod history: 2019-08-14 MAS  Created from Artemis 072.
017799,000018: 

Page 403

017801,000020: 22,2000                                           SETLOC   KALCMON1                              
017802,000021: 22,2000                                           BANK                                           
017803,000022: 
017804,000023: 22,2000  E6,1661                                  EBANK=   BCDU                                  
017805,000024: 
017806,000025: 22,2000                                           COUNT*   $$/KALC                               
017807,000026: 22,2000           06006        KALCMAN3           TC       INTPRET                               
017808,000027: 22,2001           77634                 +1        RTB                                            
017809,000028: 22,2002           44370                                    READCDUK                              #  PICK UP CURRENT CDU ANGLES
017810,000029: 22,2003           03262                           STORE    BCDU                                  #  STORE THE INITIAL S/C ANGLES
017811,000030: 22,2004           72364                           AXC,2    TLOAD                                 #  COMPUTE THE TRANSFORMATION FROM
017812,000031: 22,2005           03320                                    MIS                                   #  INITIAL S/C AXES TO STABLE MEMBER AXES
017813,000032: 22,2006           03262                                    BCDU                                  #  (MIS)
017814,000033: 22,2007           77624                           CALL                                           
017815,000034: 22,2010           44377                                    CDUTODCM                              
017816,000035: 22,2011           72364                           AXC,2    TLOAD                                 #  COMPUTE THE TRANSFORMATION FROM
017817,000036: 22,2012           03425                                    MFS                                   #  FINAL S/C AXES TO STABLE MEMBER AXES
017818,000037: 22,2013           01310                                    CPHI                                  #  (MFS)
017819,000038: 22,2014           77624                           CALL                                           
017820,000039: 22,2015           44377                                    CDUTODCM                              
017821,000040: 22,2016           45160        SECAD              AXC,1    CALL                                  #  MIS AND MFS ARRAYS CALCULATED         $2
017822,000041: 22,2017           03320                                    MIS                                   
017823,000042: 22,2020           44334                                    TRANSPOS                              
017824,000043: 22,2021           77775                           VLOAD                                          
017825,000044: 22,2022           77626                           STADR                                          
017826,000045: 22,2023           50474                           STOVL    TMIS       +12D                       
017827,000046: 22,2024           77626                           STADR                                          
017828,000047: 22,2025           50502                           STOVL    TMIS       +6                         
017829,000048: 22,2026           77626                           STADR                                          
017830,000049: 22,2027           74510                           STORE    TMIS                                  #  TMIS = TRANSPOSE(MIS) SCALED BY 2
017831,000050: 22,2030           75160                           AXC,1    AXC,2                                 
017832,000051: 22,2031           03266                                    TMIS                                  
017833,000052: 22,2032           03425                                    MFS                                   
017834,000053: 22,2033           77624                           CALL                                           
017835,000054: 22,2034           44304                                    MXM3                                  
017836,000055: 22,2035           45575                           VLOAD    STADR                                 
017837,000056: 22,2036           50335                           STOVL    MFI        +12D                       
017838,000057: 22,2037           77626                           STADR                                          
017839,000058: 22,2040           50343                           STOVL    MFI        +6                         
017840,000059: 22,2041           77626                           STADR                                          
017841,000060: 22,2042           74351                           STORE    MFI                                   #  MFI = TMIS MFS (SCALED BY 4)
017842,000061: 22,2043           45001                           SETPD    CALL                                  #  TRANSPOSE MFI IN PD LIST
017843,000062: 22,2044           00023                                    18D                                   
017844,000063: 22,2045           44343                                    TRNSPSPD                              
017845,000064: 22,2046           45575                           VLOAD    STADR                                 
017846,000065: 22,2047           50474                           STOVL    TMFI       +12D                       
017847,000066: 22,2050           77626                           STADR                                          
017848,000067: 22,2051           50502                           STOVL    TMFI       +6                         
017849,000068: 22,2052           77626                           STADR                                          
017850,000069: 22,2053           74510                           STORE    TMFI                                  #  TMFI = TRANSPOSE (MFI) SCALED BY 4

Page 404

017852,000071: 
017853,000072:                                                                                                  #  CALCULATE COFSKEW AND MFISYM
017854,000073: 
017855,000074: 22,2054           45345                           DLOAD    DSU                                   
017856,000075: 22,2055           03271                                    TMFI       +2                         
017857,000076: 22,2056           03430                                    MFI        +2                         
017858,000077: 22,2057           45325                           PDDL     DSU                                   #  CALCULATE COF SCALED BY 2/SIN(AM)
017859,000078: 22,2060           03432                                    MFI        +4                         
017860,000079: 22,2061           03273                                    TMFI       +4                         
017861,000080: 22,2062           45325                           PDDL     DSU                                   
017862,000081: 22,2063           03301                                    TMFI       +10D                       
017863,000082: 22,2064           03440                                    MFI        +10D                       
017864,000083: 22,2065           77666                           VDEF                                           
017865,000084: 22,2066           03311                           STORE    COFSKEW                               #  EQUALS MFISKEW
017866,000085: 
017867,000086:                                                                                                  #  CALCULATE AM AND PROCEED ACCORDING TO ITS MAGNITUDE
017868,000087: 
017869,000088: 22,2067           43345                           DLOAD    DAD                                   
017870,000089: 22,2070           03426                                    MFI                                   
017871,000090: 22,2071           03446                                    MFI        +16D                       
017872,000091: 22,2072           43225                           DSU      DAD                                   
017873,000092: 22,2073           15326                                    DP1/4TH                               
017874,000093: 22,2074           03436                                    MFI        +8D                        
017875,000094: 22,2075           03317                           STORE    CAM                                   #  CAM = (MFI0+MFI4+MFI8-1)/2 HALF SCALE
017876,000095: 22,2076           77726                           ARCCOS                                         
017877,000096: 22,2077           03365                           STORE    AM                                    #  AM=ARCCOS(CAM)  (AM SCALED BY 2)
017878,000097: 22,2100           51025                           DSU      BPL                                   
017879,000098: 22,2101           04367                                    MINANG                                
017880,000099: 22,2102           44111                                    CHECKMAX                              
017881,000100: 22,2103           77776                           EXIT                                           #  MANEUVER LESS THAN 0.25 DEG
017882,000101: 22,2104           00004                           INHINT                                         #  GO DIRECTLY INTO ATTITUDE HOLD
017883,000102: 22,2105           44770                           CS       ONE                                   #  ABOUT COMMANDED ANGLES
017884,000103: 22,2106           55340                           TS       HOLDFLAG                              #  NOGO WILL STOP ANY RATE AND SET UP FOR A
017885,000104: 22,2107           03163                           TC       LOADCDUD                              #  GOOD RETURN
017886,000105: 22,2110           12723                           TCF      NOGO                                  
017887,000106: 
017888,000107: 22,2111           45345        CHECKMAX           DLOAD    DSU                                   
017889,000108: 22,2112           03365                                    AM                                    
017890,000109: 22,2113           04370                                    MAXANG                                
017891,000110: 22,2114           77244                           BPL      VLOAD                                 
017892,000111: 22,2115           44123                                    ALTCALC                               #  UNIT
017893,000112: 22,2116           03311                                    COFSKEW                               #  COFSKEW
017894,000113: 22,2117           77656                           UNIT                                           
017895,000114: 22,2120           03343                           STORE    COF                                   #  COF IS THE MANEUVER AXIS
017896,000115: 22,2121           77650                           GOTO                                           #  SEE IF MANEUVER GOES THRU GIMBAL LOCK
017897,000116: 22,2122           44745                                    LOCSKIRT                              
017898,000117: 22,2123           53375        ALTCALC            VLOAD    VAD                                   #  IF AM GREATER THAN 170 DEGREES
017899,000118: 22,2124           03426                                    MFI                                   
017900,000119: 22,2125           03267                                    TMFI                                  
017901,000120: 22,2126           77762                           VSR1                                           

Page 405

017903,000122: 22,2127           27267                           STOVL    MFISYM                                
017904,000123: 22,2130           03434                                    MFI        +6                         
017905,000124: 22,2131           74455                           VAD      VSR1                                  
017906,000125: 22,2132           03275                                    TMFI       +6                         
017907,000126: 22,2133           27275                           STOVL    MFISYM     +6                         
017908,000127: 22,2134           03442                                    MFI        +12D                       
017909,000128: 22,2135           74455                           VAD      VSR1                                  
017910,000129: 22,2136           03303                                    TMFI       +12D                       
017911,000130: 22,2137           03303                           STORE    MFISYM     +12D                       #  MFISYM=(MFI+TMFI)/2   SCALED BY 4
017912,000131: 
017913,000132: 
017914,000133:                                                                                                  #  CALCULATE COF
017915,000134: 
017916,000135: 22,2140           70545                           DLOAD    SR1                                   
017917,000136: 22,2141           03317                                    CAM                                   
017918,000137: 22,2142           45325                           PDDL     DSU                                   #  PD0 CAM                              $4
017919,000138: 22,2143           15334                                    DPHALF                                
017920,000139: 22,2144           03317                                    CAM                                   
017921,000140: 22,2145           65204                           BOVB     PDDL                                  #  PD2 1 - CAM                          $2
017922,000141: 22,2146           45761                                    SIGNMPAC                              
017923,000142: 22,2147           03307                                    MFISYM     +16D                       
017924,000143: 22,2150           56225                           DSU      DDV                                   
017925,000144: 22,2151           00001                                    0                                     
017926,000145: 22,2152           00003                                    2                                     
017927,000146: 22,2153           65366                           SQRT     PDDL                                  #  COFZ = SQRT(MFISYM8-CAM)/1-CAM)
017928,000147: 22,2154           03277                                    MFISYM     +8D                        #                                 $ ROOT 2
017929,000148: 22,2155           56225                           DSU      DDV                                   
017930,000149: 22,2156           00001                                    0                                     
017931,000150: 22,2157           00003                                    2                                     
017932,000151: 22,2160           65366                           SQRT     PDDL                                  #  COFY = SQRT(MFISYM4-CAM)/(1-CAM)  $ROOT2
017933,000152: 22,2161           03267                                    MFISYM                                
017934,000153: 22,2162           56225                           DSU      DDV                                   
017935,000154: 22,2163           00001                                    0                                     
017936,000155: 22,2164           00003                                    2                                     
017937,000156: 22,2165           55566                           SQRT     VDEF                                  #  COFX = SQRT(MFISYM-CAM)/(1-CAM)  $ROOT 2
017938,000157: 22,2166           77656                           UNIT                                           
017939,000158: 22,2167           03343                           STORE    COF                                   
017940,000159: 
017941,000160:                                                                                                  #  DETERMINE LARGEST COF AND ADJUST ACCORDINGLY
017942,000161: 
017943,000162: 22,2170           45345        COFMAXGO           DLOAD    DSU                                   
017944,000163: 22,2171           03343                                    COF                                   
017945,000164: 22,2172           03345                                    COF        +2                         
017946,000165: 22,2173           71240                           BMN      DLOAD                                 #  COFY G COFX
017947,000166: 22,2174           44203                                    COMP12                                
017948,000167: 22,2175           03343                                    COF                                   
017949,000168: 22,2176           50025                           DSU      BMN                                   
017950,000169: 22,2177           03347                                    COF        +4                         
017951,000170: 22,2200           44260                                    METHOD3                               #  COFZ G COFX OR COFY
017952,000171: 22,2201           77650                           GOTO                                           

Page 406

017954,000173: 22,2202           44234                                    METHOD1                               #  COFX G COFY OR COFZ
017955,000174: 22,2203           45345        COMP12             DLOAD    DSU                                   
017956,000175: 22,2204           03345                                    COF        +2                         
017957,000176: 22,2205           03347                                    COF        +4                         
017958,000177: 22,2206           77640                           BMN                                            
017959,000178: 22,2207           44260                                    METHOD3                               #  COFZ G COFY OR COFX
017960,000179: 
017961,000180: 22,2210           51145        METHOD2            DLOAD    BPL                                   #  COFY MAX
017962,000181: 22,2211           03313                                    COFSKEW    +2                         #  UY
017963,000182: 22,2212           44216                                    U2POS                                 
017964,000183: 22,2213           57575                           VLOAD    VCOMP                                 
017965,000184: 22,2214           03343                                    COF                                   
017966,000185: 22,2215           03343                           STORE    COF                                   
017967,000186: 22,2216           51145        U2POS              DLOAD    BPL                                   
017968,000187: 22,2217           03271                                    MFISYM     +2                         #  UX UY
017969,000188: 22,2220           44224                                    OKU21                                 
017970,000189: 22,2221           57545                           DLOAD    DCOMP                                 #  SIGN OF UX OPPOSITE TO UY
017971,000190: 22,2222           03343                                    COF                                   
017972,000191: 22,2223           03343                           STORE    COF                                   
017973,000192: 22,2224           51145        OKU21              DLOAD    BPL                                   
017974,000193: 22,2225           03301                                    MFISYM     +10D                       #  UY UZ
017975,000194: 22,2226           44745                                    LOCSKIRT                              
017976,000195: 22,2227           57545                           DLOAD    DCOMP                                 #  SIGN OF UZ OPPOSITE TO UY
017977,000196: 22,2230           03347                                    COF        +4                         
017978,000197: 22,2231           03347                           STORE    COF        +4                         
017979,000198: 22,2232           77650                           GOTO                                           
017980,000199: 22,2233           44745                                    LOCSKIRT                              
017981,000200: 22,2234           51145        METHOD1            DLOAD    BPL                                   #  COFX MAX
017982,000201: 22,2235           03311                                    COFSKEW                               #  UX
017983,000202: 22,2236           44242                                    U1POS                                 
017984,000203: 22,2237           57575                           VLOAD    VCOMP                                 
017985,000204: 22,2240           03343                                    COF                                   
017986,000205: 22,2241           03343                           STORE    COF                                   
017987,000206: 22,2242           51145        U1POS              DLOAD    BPL                                   
017988,000207: 22,2243           03271                                    MFISYM     +2                         #  UX UY
017989,000208: 22,2244           44250                                    OKU12                                 
017990,000209: 22,2245           57545                           DLOAD    DCOMP                                 
017991,000210: 22,2246           03345                                    COF        +2                         #  SIGN OF UY OPPOSITE TO UX
017992,000211: 22,2247           03345                           STORE    COF        +2                         
017993,000212: 22,2250           51145        OKU12              DLOAD    BPL                                   
017994,000213: 22,2251           03273                                    MFISYM     +4                         #  UX UZ
017995,000214: 22,2252           44745                                    LOCSKIRT                              
017996,000215: 22,2253           57545                           DLOAD    DCOMP                                 #  SIGN OF UZ OPPOSITE TO UY
017997,000216: 22,2254           03347                                    COF        +4                         
017998,000217: 22,2255           03347                           STORE    COF        +4                         
017999,000218: 22,2256           77650                           GOTO                                           
018000,000219: 22,2257           44745                                    LOCSKIRT                              
018001,000220: 22,2260           51145        METHOD3            DLOAD    BPL                                   #  COFZ MAX
018002,000221: 22,2261           03315                                    COFSKEW    +4                         #  UZ
018003,000222: 22,2262           44266                                    U3POS                                 

Page 407

018005,000224: 22,2263           57575                           VLOAD    VCOMP                                 
018006,000225: 22,2264           03343                                    COF                                   
018007,000226: 22,2265           03343                           STORE    COF                                   
018008,000227: 22,2266           51145        U3POS              DLOAD    BPL                                   
018009,000228: 22,2267           03273                                    MFISYM     +4                         #  UX UZ
018010,000229: 22,2270           44274                                    OKU31                                 
018011,000230: 22,2271           57545                           DLOAD    DCOMP                                 
018012,000231: 22,2272           03343                                    COF                                   #  SIGN OF UX OPPOSITE TO UZ
018013,000232: 22,2273           03343                           STORE    COF                                   
018014,000233: 22,2274           51145        OKU31              DLOAD    BPL                                   
018015,000234: 22,2275           03301                                    MFISYM     +10D                       #  UY UZ
018016,000235: 22,2276           44745                                    LOCSKIRT                              
018017,000236: 22,2277           57545                           DLOAD    DCOMP                                 
018018,000237: 22,2300           03345                                    COF        +2                         #  SIGN OF UY OPPOSITE TO UZ
018019,000238: 22,2301           03345                           STORE    COF        +2                         
018020,000239: 22,2302           77650                           GOTO                                           
018021,000240: 22,2303           44745                                    LOCSKIRT                              
018022,000241: 

Page 408

018024,000243:                                                                                                  #  MATRIX OPERATIONS
018025,000244: 
018026,000245: 22,2304           77601        MXM3               SETPD                                          #  MXM3 MULTIPLIES 2 3X3 MATRICES
018027,000246: 22,2305           00001                                    0                                     #  AND LEAVES RESULT IN PD LIST
018028,000247: 22,2306           64743                           DLOAD*   PDDL*                                 #  ADDRESS OF 1ST MATRIX IN XR1
018029,000248: 22,2307           77762                                    12D,2                                 #  ADDRESS OF 2ND MATRIX IN XR2
018030,000249: 22,2310           77770                                    6,2                                   
018031,000250: 22,2311           55523                           PDDL*    VDEF                                  #  DEFINE VECTOR M2(COL 1)
018032,000251: 22,2312           77776                                    0,2                                   
018033,000252: 22,2313           64717                           MXV*     PDDL*                                 #  M1XM2(COL 1) IN PD
018034,000253: 22,2314           00001                                    0,1                                   
018035,000254: 22,2315           77760                                    14D,2                                 
018036,000255: 22,2316           64723                           PDDL*    PDDL*                                 
018037,000256: 22,2317           77766                                    8D,2                                  
018038,000257: 22,2320           77774                                    2,2                                   
018039,000258: 22,2321           63666                           VDEF     MXV*                                  #  DEFINE VECTOR M2(COL 2)
018040,000259: 22,2322           00001                                    0,1                                   
018041,000260: 22,2323           64723                           PDDL*    PDDL*                                 #  M1XM2(COL2) IN PD
018042,000261: 22,2324           77756                                    16D,2                                 
018043,000262: 22,2325           77764                                    10D,2                                 
018044,000263: 22,2326           55523                           PDDL*    VDEF                                  #  DEFINE VECTOR M2(COL 3)
018045,000264: 22,2327           77772                                    4,2                                   
018046,000265: 22,2330           41517                           MXV*     PUSH                                  #  M1XM2(COL 3) IN PD
018047,000266: 22,2331           00001                                    0,1                                   
018048,000267: 22,2332           77650                           GOTO                                           
018049,000268: 22,2333           44343                                    TRNSPSPD                              #  REVERSE ROWS AND COLS IN PD AND
018050,000269:                                                                                                  #                                        RETURN WITH M1XM2 IN PD LIST
018051,000270: 
018052,000271: 22,2334           76601        TRANSPOS           SETPD    VLOAD*                                #  TRANSPOS TRANSPOSES A 3X3 MATRIX
018053,000272: 22,2335           00001                                    0                                     #   AND LEAVES RESULT IN PD LIST
018054,000273: 22,2336           00001                                    0,1                                   #  MATRIX ADDRESS IN XR1
018055,000274: 22,2337           62713                           PDVL*    PDVL*                                 
018056,000275: 22,2340           00007                                    6,1                                   
018057,000276: 22,2341           00015                                    12D,1                                 
018058,000277: 22,2342           77606                           PUSH                                           #  MATRIX IN PD
018059,000278: 22,2343           65345        TRNSPSPD           DLOAD    PDDL                                  #  ENTER WITH MATRIX IN PD LIST
018060,000279: 22,2344           00003                                    2                                     
018061,000280: 22,2345           00007                                    6                                     
018062,000281: 22,2346           14003                           STODL    2                                     
018063,000282: 22,2347           77626                           STADR                                          
018064,000283: 22,2350           63770                           STODL    6                                     
018065,000284: 22,2351           00005                                    4                                     
018066,000285: 22,2352           77725                           PDDL                                           
018067,000286: 22,2353           00015                                    12D                                   
018068,000287: 22,2354           14005                           STODL    4                                     
018069,000288: 22,2355           77626                           STADR                                          
018070,000289: 22,2356           63762                           STODL    12D                                   
018071,000290: 22,2357           00013                                    10D                                   
018072,000291: 22,2360           77725                           PDDL                                           

Page 409

018074,000293: 22,2361           00017                                    14D                                   
018075,000294: 22,2362           14013                           STODL    10D                                   
018076,000295: 22,2363           77626                           STADR                                          
018077,000296: 22,2364           77760                           STORE    14D                                   
018078,000297: 22,2365           77616                           RVQ                                            #  RETURN WITH TRANSPOSED MATRIX IN PD LIST
018079,000298: 22,2366           00013        MINANG             DEC      .00069375                             
018080,000299: 22,2367           17071        MAXANG             DEC      .472222                               
018081,000300: 22,2370           00004        READCDUK           INHINT                                         #  LOAD T(MPAC) WITH THE CURRENT CDU ANGLES
018082,000301: 22,2371           30034                           CA       CDUZ                                  
018083,000302: 22,2372           54156                           TS       MPAC       +2                         
018084,000303: 22,2373           00006                           EXTEND                                         
018085,000304: 22,2374           30033                           DCA      CDUX                                  
018086,000305: 22,2375           00003                           RELINT                                         
018087,000306: 22,2376           16445                           TCF      TLOAD      +6                         
018088,000307: 22,2000                                           SETLOC   KALCMON2                              
018089,000308: 22,2000                                           BANK                                           
018090,000309: 
018091,000310: 22,2377                                           COUNT*   $$/KALC                               
018092,000311: 
018093,000312: 22,2377           66370        CDUTODCM           AXT,1    SSP                                   #  SUBROUTINE TO COMPUTE  DIRECTION COSINE
018094,000313: 22,2400           00003                           OCT      3                                     #  MATRIX RELATING S/C AXES TO STABLE
018095,000314: 22,2401           00051                                    S1                                    #  MEMBER AXES FROM 3 CDU ANGLES IN T(MPAC)
018096,000315: 22,2402           00001                           OCT      1                                     #  SET XR1, S1 AND PD FOR LOOP
018097,000316: 22,2403           00010                           STORE    7                                     
018098,000317: 22,2404           77601                           SETPD                                          
018099,000318: 22,2405           00001                                    0                                     
018100,000319: 22,2406           47133        LOOPSIN            SLOAD*   RTB                                   
018101,000320: 22,2407           00013                                    10D,1                                 
018102,000321: 22,2410           51754                                    CDULOGIC                              
018103,000322: 22,2411           00013                           STORE    10D                                   #  LOAD PD WITH 0 SIN(PHI)
018104,000323: 22,2412           65356                           SIN      PDDL                                  #               2 COS(PHI)
018105,000324: 22,2413           00013                                    10D                                   #               4 SIN(THETA)
018106,000325: 22,2414           41546                           COS      PUSH                                  #               6 COS(THETA)
018107,000326: 22,2415           71300                           TIX,1    DLOAD                                 #               8 SIN(PSI)
018108,000327: 22,2416           44406                                    LOOPSIN                               #              10 COS(PSI)
018109,000328: 22,2417           00007                                    6                                     
018110,000329: 22,2420           72405                           DMP      SL1                                   
018111,000330: 22,2421           00013                                    10D                                   
018112,000331: 22,2422           10001                           STORE    0,2                                   
018113,000332: 22,2423           77745                           DLOAD                                          
018114,000333: 22,2424           00005                                    4                                     
018115,000334: 22,2425           65205                           DMP      PDDL                                  
018116,000335: 22,2426           00001                                    0                                     #  (PD6 SIN(THETA)SIN(PHI))
018117,000336: 22,2427           00007                                    6                                     
018118,000337: 22,2430           41205                           DMP      DMP                                   
018119,000338: 22,2431           00011                                    8D                                    
018120,000339: 22,2432           00003                                    2                                     
018121,000340: 22,2433           44352                           SL1      BDSU                                  
018122,000341: 22,2434           00015                                    12D                                   
018123,000342: 22,2435           77752                           SL1                                            

Page 410

018125,000344: 22,2436           10003                           STORE    2,2                                   
018126,000345: 22,2437           77745                           DLOAD                                          
018127,000346: 22,2440           00003                                    2                                     
018128,000347: 22,2441           65205                           DMP      PDDL                                  #  (PD7 COS(PHI)SIN(THETA)) SCALED 4
018129,000348: 22,2442           00005                                    4                                     
018130,000349: 22,2443           00007                                    6                                     
018131,000350: 22,2444           41205                           DMP      DMP                                   
018132,000351: 22,2445           00011                                    8D                                    
018133,000352: 22,2446           00001                                    0                                     
018134,000353: 22,2447           77752                           SL1                                            
018135,000354: 22,2450           72415                           DAD      SL1                                   
018136,000355: 22,2451           00017                                    14D                                   
018137,000356: 22,2452           10005                           STORE    4,2                                   
018138,000357: 22,2453           77745                           DLOAD                                          
018139,000358: 22,2454           00011                                    8D                                    
018140,000359: 22,2455           10007                           STORE    6,2                                   
018141,000360: 22,2456           77745                           DLOAD                                          
018142,000361: 22,2457           00013                                    10D                                   
018143,000362: 22,2460           72405                           DMP      SL1                                   
018144,000363: 22,2461           00003                                    2                                     
018145,000364: 22,2462           10011                           STORE    8D,2                                  
018146,000365: 22,2463           77745                           DLOAD                                          
018147,000366: 22,2464           00013                                    10D                                   
018148,000367: 22,2465           57405                           DMP      DCOMP                                 
018149,000368: 22,2466           00001                                    0                                     
018150,000369: 22,2467           77752                           SL1                                            
018151,000370: 22,2470           10013                           STORE    10D,2                                 
018152,000371: 22,2471           77745                           DLOAD                                          
018153,000372: 22,2472           00005                                    4                                     
018154,000373: 22,2473           57405                           DMP      DCOMP                                 
018155,000374: 22,2474           00013                                    10D                                   
018156,000375: 22,2475           77752                           SL1                                            
018157,000376: 22,2476           10015                           STORE    12D,2                                 
018158,000377: 22,2477           77745                           DLOAD                                          
018159,000378: 22,2500           72405                           DMP      SL1                                   #  (PUSH UP 7)
018160,000379: 22,2501           00011                                    8D                                    
018161,000380: 22,2502           41325                           PDDL     DMP                                   #  (PD7 COS(PHI)SIN(THETA)SIN(PSI)) SCALE4
018162,000381: 22,2503           00007                                    6                                     
018163,000382: 22,2504           00001                                    0                                     
018164,000383: 22,2505           72415                           DAD      SL1                                   #  (PUSH UP 7)
018165,000384: 22,2506           77626                           STADR                                          #  C7=COS(PHI)SIN(THETA)SIN(PSI)
018166,000385: 22,2507           67760                           STORE    14D,2                                 
018167,000386: 22,2510           77745                           DLOAD                                          
018168,000387: 22,2511           72405                           DMP      SL1                                   #  (PUSH UP 6)
018169,000388: 22,2512           00011                                    8D                                    
018170,000389: 22,2513           41325                           PDDL     DMP                                   #  (PD6 SIN(THETA)SIN(PHI)SIN(PSI)) SCALE4
018171,000390: 22,2514           00007                                    6                                     
018172,000391: 22,2515           00003                                    2                                     
018173,000392: 22,2516           72425                           DSU      SL1                                   #  (PUSH UP 6)
018174,000393: 22,2517           77626                           STADR                                          

Page 411

018176,000395: 22,2520           67756                           STORE    16D,2                                 #  C8=-SIN(THETA)SIN(PHI)SIN(PSI)
018177,000396: 22,2521           77616                           RVQ                                            #     +COS(THETA)COS(PHI)
018178,000397: 22,2522                        ENDOCM             EQUALS                                         
018179,000398: 
018180,000399: 22,2000                                           SETLOC   KALCMON1                              
018181,000400: 22,2000                                           BANK                                           
018182,000401: 
018183,000402:                                                                                                  #  CALCULATION OF THE MATRIX DEL......
018184,000403: 
018185,000404:                                                                                                  #        *      *               --T           *
018186,000405:                                                                                                  #        DEL = (IDMATRIX)COS(A)+UU (1-COS(A))+UX SIN(A)          SCALED 1
018187,000406: 
018188,000407:                                                                                                  #              -
018189,000408:                                                                                                  #        WHERE U IS A UNIT VECTOR (DP SCALED 2) ALONG THE AXIS OF ROTATION.
018190,000409:                                                                                                  #        A IS THE ANGLE OF ROTATION (DP SCALED 2)
018191,000410:                                                                                                  #                                           -
018192,000411:                                                                                                  #        UPON ENTRY THE STARTING ADDRESS OF U IS COF, AND A IS IN MPAC
018193,000412: 
018194,000413: 22,2522                                           COUNT*   $$/KALC                               
018195,000414: 22,2522           41401        DELCOMP            SETPD    PUSH                                  #  MPAC CONTAINS THE ANGLE A
018196,000415: 22,2523           00001                                    0                                     
018197,000416: 22,2524           65356                           SIN      PDDL                                  #  PD0 = SIN(A)
018198,000417: 22,2525           41546                           COS      PUSH                                  #  PD2 = COS(A)
018199,000418: 22,2526           65302                           SR2      PDDL                                  #  PD2 = COS(A)                          $8
018200,000419: 22,2527           41021                           BDSU     BOVB                                  #  PD4 = 1-COS(A)                        $2
018201,000420: 22,2530           15334                                    DPHALF                                
018202,000421: 22,2531           45761                                    SIGNMPAC                              
018203,000422: 
018204,000423:                                                                                                  #  COMPUTE THE DIAGONAL COMPONENTS OF DEL
018205,000424: 
018206,000425: 22,2532           77725                           PDDL                                           
018207,000426: 22,2533           03343                                    COF                                   
018208,000427: 22,2534           41316                           DSQ      DMP                                   
018209,000428: 22,2535           00005                                    4                                     
018210,000429: 22,2536           52415                           DAD      SL3                                   
018211,000430: 22,2537           00003                                    2                                     
018212,000431: 22,2540           77604                           BOVB                                           
018213,000432: 22,2541           45761                                    SIGNMPAC                              
018214,000433: 22,2542           17426                           STODL    DEL                                   #  UX UX(U-COS(A)) +COS(A)               $1
018215,000434: 22,2543           03345                                    COF        +2                         
018216,000435: 22,2544           41316                           DSQ      DMP                                   
018217,000436: 22,2545           00005                                    4                                     
018218,000437: 22,2546           52415                           DAD      SL3                                   
018219,000438: 22,2547           00003                                    2                                     
018220,000439: 22,2550           77604                           BOVB                                           
018221,000440: 22,2551           45761                                    SIGNMPAC                              
018222,000441: 22,2552           17436                           STODL    DEL        +8D                        #  UY UY(1-COS(A)) +COS(A)               $1
018223,000442: 22,2553           03347                                    COF        +4                         
018224,000443: 22,2554           41316                           DSQ      DMP                                   

Page 412

018226,000445: 22,2555           00005                                    4                                     
018227,000446: 22,2556           52415                           DAD      SL3                                   
018228,000447: 22,2557           00003                                    2                                     
018229,000448: 22,2560           77604                           BOVB                                           
018230,000449: 22,2561           45761                                    SIGNMPAC                              
018231,000450: 22,2562           03446                           STORE    DEL        +16D                       #  UZ UZ(1-COS(A)) +COS(A)               $1
018232,000451: 
018233,000452:                                                                                                  #  COMPUTE THE OFF DIAGONAL TERMS OF DEL
018234,000453: 
018235,000454: 22,2563           41345                           DLOAD    DMP                                   
018236,000455: 22,2564           03343                                    COF                                   
018237,000456: 22,2565           03345                                    COF        +2                         
018238,000457: 22,2566           72405                           DMP      SL1                                   
018239,000458: 22,2567           00005                                    4                                     
018240,000459: 22,2570           41325                           PDDL     DMP                                   #  D6    UX UY (1-COS A)                 $ 4
018241,000460: 22,2571           03347                                    COF        +4                         
018242,000461: 22,2572           00001                                    0                                     
018243,000462: 22,2573           43206                           PUSH     DAD                                   #  D8    UZ SIN A                        $ 4
018244,000463: 22,2574           00007                                    6                                     
018245,000464: 22,2575           41112                           SL2      BOVB                                  
018246,000465: 22,2576           45761                                    SIGNMPAC                              
018247,000466: 22,2577           17434                           STODL    DEL        +6                         
018248,000467: 22,2600           62421                           BDSU     SL2                                   
018249,000468: 22,2601           77604                           BOVB                                           
018250,000469: 22,2602           45761                                    SIGNMPAC                              
018251,000470: 22,2603           17430                           STODL    DEL        +2                         
018252,000471: 22,2604           03343                                    COF                                   
018253,000472: 22,2605           41205                           DMP      DMP                                   
018254,000473: 22,2606           03347                                    COF        +4                         
018255,000474: 22,2607           00005                                    4                                     
018256,000475: 22,2610           65352                           SL1      PDDL                                  #  D6    UX UZ (1-COS A)                 $ 4
018257,000476: 22,2611           03345                                    COF        +2                         
018258,000477: 22,2612           41405                           DMP      PUSH                                  #  D8    UY SIN(A)
018259,000478: 22,2613           00001                                    0                                     
018260,000479: 22,2614           62415                           DAD      SL2                                   
018261,000480: 22,2615           00007                                    6                                     
018262,000481: 22,2616           77604                           BOVB                                           
018263,000482: 22,2617           45761                                    SIGNMPAC                              
018264,000483: 22,2620           17432                           STODL    DEL        +4                         #  UX UZ (1-COS(A))+UY SIN(A)
018265,000484: 22,2621           62421                           BDSU     SL2                                   
018266,000485: 22,2622           77604                           BOVB                                           
018267,000486: 22,2623           45761                                    SIGNMPAC                              
018268,000487: 22,2624           17442                           STODL    DEL        +12D                       #  UX UZ (U-COS(A))-UY SIN(A)
018269,000488: 22,2625           03345                                    COF        +2                         
018270,000489: 22,2626           41205                           DMP      DMP                                   
018271,000490: 22,2627           03347                                    COF        +4                         
018272,000491: 22,2630           00005                                    4                                     
018273,000492: 22,2631           65352                           SL1      PDDL                                  #  D6    UY UZ (1-COS(A))                $ 4
018274,000493: 22,2632           03343                                    COF                                   
018275,000494: 22,2633           41405                           DMP      PUSH                                  #  D8    UX SIN(A)

Page 413

018277,000496: 22,2634           00001                                    0                                     
018278,000497: 22,2635           62415                           DAD      SL2                                   
018279,000498: 22,2636           00007                                    6                                     
018280,000499: 22,2637           77604                           BOVB                                           
018281,000500: 22,2640           45761                                    SIGNMPAC                              
018282,000501: 22,2641           17444                           STODL    DEL        +14D                       #  UY UZ(1-COS(A)) +UX SIN(A)
018283,000502: 22,2642           62421                           BDSU     SL2                                   
018284,000503: 22,2643           77604                           BOVB                                           
018285,000504: 22,2644           45761                                    SIGNMPAC                              
018286,000505: 22,2645           03440                           STORE    DEL        +10D                       #  UY UZ(1-COS(A)) -UX SIN(A)
018287,000506: 22,2646           77616                           RVQ                                            
018288,000507: 
018289,000508:                                                                                                  #  DIRECTION COSINE MATRIX TO CDU ANGLE ROUTINE
018290,000509:                                                                                                  #  X1 CONTAINS THE COMPLEMENT OF THE STARTING ADDRESS FOR MATRIX (SCALED 2)
018291,000510:                                                                                                  #  LEAVES CDU ANGLES SCALED 2PI IN V(MPAC)
018292,000511:                                                                                                  #  COS(MGA) WILL BE LEFT IN S1 (SCALED 1)
018293,000512: 
018294,000513:                                                                                                  #  THE DIRECTION COSINE MATRIX RELATING S/C AXES TO STABLE MEMBER AXES CAN BE WRITTEN AS ***
018295,000514: 
018296,000515:                                                                                                  #        C =COS(THETA)COS(PSI)
018297,000516:                                                                                                  #         0
018298,000517:                                                                                                  #        C =-COS(THETA)SIN(PSI)COS(PHI)+SI (THETA)SIN(PHI)
018299,000518:                                                                                                  #         1
018300,000519:                                                                                                  #        C =COS(THETA)SIN(PSI)SIN(PHI) + S N(THETA)COS(PHI)
018301,000520:                                                                                                  #         2
018302,000521:                                                                                                  #        C =SIN(PSI)
018303,000522:                                                                                                  #         3
018304,000523:                                                                                                  #        C =COS(PSI)COS(PHI)
018305,000524:                                                                                                  #         4
018306,000525:                                                                                                  #        C =-COS(PSI)SIN(PHI)
018307,000526:                                                                                                  #         5
018308,000527:                                                                                                  #        C =-SIN(THETA)COS(PSI)
018309,000528:                                                                                                  #         6
018310,000529:                                                                                                  #        C =SIN(THETA)SIN(PSI)COS(PHI)+COS THETA)SIN(PHI)
018311,000530:                                                                                                  #         7
018312,000531:                                                                                                  #        C =-SIN(THETA)SIN(PSI)SIN(PHI)+CO (THETA)COS(PHI)
018313,000532:                                                                                                  #         8
018314,000533: 
018315,000534:                                                                                                  #        WHERE   PHI = OGA
018316,000535:                                                                                                  #                THETA = IGA
018317,000536:                                                                                                  #                PSI = MGA
018318,000537: 
018319,000538: 22,2647           67543        DCMTOCDU           DLOAD*   ARCSIN                                
018320,000539: 22,2650           00007                                    6,1                                   
018321,000540: 22,2651           71406                           PUSH     COS                                   #  PD +0         PSI
018322,000541: 22,2652           41152                           SL1      BOVB                                  
018323,000542: 22,2653           45761                                    SIGNMPAC                              
018324,000543: 22,2654           00051                           STORE    S1                                    
018325,000544: 22,2655           57543                           DLOAD*   DCOMP                                 

Page 414

018327,000546: 22,2656           00015                                    12D,1                                 
018328,000547: 22,2657           67471                           DDV      ARCSIN                                
018329,000548: 22,2660           00051                                    S1                                    
018330,000549: 22,2661           51123                           PDDL*    BPL                                   #  PD +2         THETA
018331,000550: 22,2662           00001                                    0,1                                   #  MUST CHECK THE SIGN OF COS(THETA)
018332,000551: 22,2663           44675                                    OKTHETA                               #  TO DETERMINE THE PROPER QUADRANT
018333,000552: 22,2664           57545                           DLOAD    DCOMP                                 
018334,000553: 22,2665           43244                           BPL      DAD                                   
018335,000554: 22,2666           44672                                    SUHALFA                               
018336,000555: 22,2667           15334                                    DPHALF                                
018337,000556: 22,2670           77650                           GOTO                                           
018338,000557: 22,2671           44674                                    CALCPHI                               
018339,000558: 22,2672           77625        SUHALFA            DSU                                            
018340,000559: 22,2673           15334                                    DPHALF                                
018341,000560: 22,2674           77606        CALCPHI            PUSH                                           
018342,000561: 22,2675           57543        OKTHETA            DLOAD*   DCOMP                                 
018343,000562: 22,2676           00013                                    10D,1                                 
018344,000563: 22,2677           67471                           DDV      ARCSIN                                
018345,000564: 22,2700           00051                                    S1                                    
018346,000565: 22,2701           51123                           PDDL*    BPL                                   #  PUSH DOWN PHI
018347,000566: 22,2702           00011                                    8D,1                                  
018348,000567: 22,2703           44715                                    OKPHI                                 
018349,000568: 22,2704           57545                           DLOAD    DCOMP                                 #  PUSH UP PHI
018350,000569: 22,2705           43244                           BPL      DAD                                   
018351,000570: 22,2706           44712                                    SUHALFAP                              
018352,000571: 22,2707           15334                                    DPHALF                                
018353,000572: 22,2710           77650                           GOTO                                           
018354,000573: 22,2711           44716                                    VECOFANG                              
018355,000574: 22,2712           52025        SUHALFAP           DSU      GOTO                                  
018356,000575: 22,2713           15334                                    DPHALF                                
018357,000576: 22,2714           44716                                    VECOFANG                              
018358,000577: 22,2715           77745        OKPHI              DLOAD                                          #  PUSH UP PHI
018359,000578: 22,2716           43466        VECOFANG           VDEF     RVQ                                   
018360,000579: 

Page 415

018362,000581:                                                                                                  #  ROUTINE FOR TERMINATING AUTOMATIC MANEUVERS
018363,000582: 
018364,000583: 22,2717           77776        NOGOM3             EXIT                                           
018365,000584: 22,2720           00004        NOGOM2             INHINT                                         #  THIS LOCATION ACCESSED BY A BZMF NOGO -2
018366,000585: 22,2721           04636                           TC       BANKCALL                              
018367,000586: 22,2722           40203                           CADR     ZEROEROR                              
018368,000587: 
018369,000588: 22,2723           00004        NOGO               INHINT                                         
018370,000589: 22,2724           04463                           TC       STOPRATE                              
018371,000590: 
018372,000591: 22,2725           34767                           CAF      R67BIT                                
018373,000592: 22,2726           70104                           MASK     FLAGWRD8                              
018374,000593: 22,2727           00006                           EXTEND                                         
018375,000594: 22,2730           12740                           BZF      NOTR67ND                              
018376,000595: 
018377,000596: 22,2731           35016                           CAF      1SEC                                  #  WAITLIST TASK IN 1 SECON:
018378,000597: 22,2732           05233                           TC       WAITLIST                              #  RETURN TO UPDTCALL
018379,000598: 22,2733  E6,1661                                  EBANK=   BCDU                                  
018380,000599: 22,2733           02320 74066                     2CADR    R67                                   
018381,000600: 
018382,000601: 22,2735           05402                           TC       PHASCHNG                              
018383,000602: 22,2736           00111                           OCT      00111                                 
018384,000603: 
018385,000604: 22,2737  01,2025               1P11SPT2           =        1.11SPOT                              
018386,000605: 22,2737           05205                           TC       ENDOFJOB                              
018387,000606: 
018388,000607: 22,2740           34767        NOTR67ND           CAF      TWO                                   #  RETURN VIA
018389,000608: 22,2741           05233                           TC       WAITLIST                              #  GOODEND
018390,000609: 22,2742  E6,1661                                  EBANK=   BCDU                                  
018391,000610: 22,2742           02311 20066                     2CADR    ENDMANU                               
018392,000611: 
018393,000612: 22,2744           15205                           TCF      ENDOFJOB                              

End of include-file ANGLFIND.agc.  Parent file is MAIN.agc